$L^p$-estimates for Riesz transforms on forms in the Poincar\'e space

DOI10.1512/iumj.2005.54.2501zbMath1071.53022arXivmath/0411569OpenAlexW2594413230MaRDI QIDQ4682089

Joaquim Bruna

Publication date: 9 June 2005

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411569

zbMATH Keywords

Sobolev spaceshyperbolic form convolutionhyperbolic singular integrals

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Harmonic analysis on homogeneous spaces (43A85) A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05) Invariance and symmetry properties for PDEs on manifolds (58J70) Integral operators (47G10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

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